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Trapezoid ABCD has parallel bases AB and CD. Let AD=5 and BC=7, and let P be a point on side CD such that CP/PD=7/5 Let X, Y be the feet of the altitudes from P to AD, BC respectively. Show that PX=PY.

 Oct 26, 2022
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This is trivial if you use coordinates.

 Oct 26, 2022

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